LAUSR

Abstract In the present article, numerical analysis is performed over the lid-driven hexagon cavity filled with water. The cavity is partially heated at the upper wall, that is moving with uniform velocity. Moreover, cylindrical obstacle is placed inside of hexagonal cavity and different constraint are defined at the surface. Governing partial diifferential equations are nondimensionlized before being solved numerically using Finite Element Method (FEM). The present numerical method is also applied to the previous reported models to validate the results reported in this article. The simulation is performed in order to determine the heat transfer rate, steam lines and isotherms behavior due to the variation of contained physical and geometrical parameters, such as: Reynolds number (200 ≤  Re  ≤ 550), Richards number (10−6 ≤ Ri ≤ 1), Hartman number (0 ≤ Ha ≤ 20), heated length (0.1 ≤ HL ≤ 0.3) and cylindrical obstacle (cold, adiabatic and heated). The circular obstacle played an important role in the formation of isotherms by adjusting the various constraint at the surface. The outcome reveals that the heat length, Richardson number and Reynold number are strongly associated with heat transfer.